Positional information as a universal predictor of freezing

Abstract

Variation of positional information, measured by the two-body excess entropy ${\mathsf{S}}_2$, is studied across the liquid-solid equilibrium transition in a simple two-dimensional system. Analysis reveals a master relation between ${\mathsf{S}}_2$ and the freezing temperature $T_{\mathrm{f}}$, from which a scaling law is extracted: $-{\mathsf{S}}_2\sim |T_{\mathrm{f}}-T{|}^{-1/3}$. Theoretical and practical implications of the observed universality are discussed.

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